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Marrrta [24]
3 years ago
11

You invest in $5,000 in an account earning simple interests. The balance after 6 years is $6,200. What is the interests rate?

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

The interest rate is 4% per annum.

Step-by-step explanation:

Let the interest rate that I am getting is r% per annum.

So, my $5000 investment becomes $6200 after getting r% simple interest for 6 years.

So, from formula of simple interest we can write  

6200 = 5000(1 +\frac{rt}{100})

⇒ 1.24 = 1 + \frac{6r}{100}

⇒ \frac{6r}{100} = 0.24

⇒ r = 4%

Therefore, the interest rate is 4% per annum. (Answer)

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Use the function below to find f(4).<br> f(x)= 1/3•4^x
kenny6666 [7]

Answer:

f(4) = 85 1/3 or 85.333...

Step-by-step explanation:

To find f(4), you must substitute 4 in place of x whenever x appears:

f(x) = \frac{1}{3} * 4^{x}

f(4) = \frac{1}{3} * 4^{4}

Next, simplify the exponent:

f(4) = \frac{1}{3} * 256

Finally, multiply:

f(4) = 85 1/3 or 85.333...

5 0
3 years ago
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states th
Bad White [126]

Answer:

65.45

Step-by-step explanation:

Zscore = (x - mean) / standard deviation

x = score

Percentage below C :

D = 18% ; F = 12%

Sum = 30%

Obtain the Zscore for the proportion below D

P(Z < 0.30) = -0.524

Hence, Zscore = -0.524

Put Zscore = -0.524 in the equation :

-0.524 = (x - 72) / 12.5

-0.524 * 12.5 = x - 72

-6.55 = x - 72

-6.55 + 72 = x

x = 65.45

To receive a grade of C or better, score must be atleast 65.45

6 0
3 years ago
A pizza had 9/10 left before Lucas ate 4/5 of the pizza. How much pizza is left over
Norma-Jean [14]
1/10 is left.

Explanation:

First we need to find a common denominator. Since 5×2=10, if we multiply 4/5 by 2/2, we will be able to subtract that from 9/10.

4/5×2/2= 8/10. Then if we subtract that from the 9/10 left of the pizza, we get 1/10, the amount remaining.

Hope this helps :)
8 0
3 years ago
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Serga [27]
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3 0
2 years ago
The sum of two numbers is 981. One of the numbers is 703. What is the other number?
victus00 [196]

Answer:

Other number is 278.

Step-by-step explanation:

Given that

a + b = 981

One of the numbers = 703

We assume that it is a ; So

a = 703

Other number = b = ?

Put value of a in a + b

a + b = 981

703 + b = 981

b = 278

6 0
3 years ago
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